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Finding the Fourth Proportional to 1,192.56, 1,646.30 and 794.88

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Solution

The fourth proportional to 1,192.56, 1,646.30 and 794.88 is: 1,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.56 : 1,646.30 = 794.88 : x
  2. Step 2: Convert to fraction form
    1,192.56/1,646.30 = 794.88/x
  3. Step 3: Cross multiply
    1,192.56x = 1,646.30 × 794.88
  4. Step 4: Simplify right side
    1,192.56x = 1,308,606.97
  5. Step 5: Solve for x
    x = 1,308,606.97/1,192.56
  6. Step 6: Final answer
    x = 1,097.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.